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Matter in Loop Quantum Gravity [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2012
Loop quantum gravity, a non-perturbative and manifestly background free, quantum theory of gravity implies that at the kinematical level the spatial geometry is discrete in a specific sense.
Ghanashyam Date, Golam Mortuza Hossain
doaj   +5 more sources

Loop quantum gravity’s boundary maps [PDF]

open access: yesClassical and Quantum Gravity, 2021
Abstract In canonical quantum gravity, the presence of spatial boundaries naturally leads to boundary quantum states, representing quantum boundary conditions for the bulk fields. As a consequence, quantum states of the bulk geometry need to be upgraded to wave-functions valued in the boundary Hilbert space: the bulk becomes quantum ...
Qian Chen, Etera R Livine
openaire   +2 more sources

Quaternion-Loop Quantum Gravity [PDF]

open access: yesFoundations of Physics, 2009
It is shown that the Riemannian curvature of the 3-dimensional hypersurfaces in space-time, described by the Wilson loop integral, can be represented by a quaternion quantum operator induced by the SU(2) gauge potential, thus providing a justification for quaternion quantum gravity at the Tev energy scale.
Maia, M. D.   +2 more
openaire   +3 more sources

Loop-Quantum-Gravity Vertex Amplitude [PDF]

open access: yesPhysical Review Letters, 2007
Spinfoam theories are hoped to provide the dynamics of non-perturbative loop quantum gravity. But a number of their features remain elusive. The best studied one -the euclidean Barrett-Crane model- does not have the boundary state space needed for this, and there are recent indications that, consequently, it may fail to yield the correct low-energy $n$-
Engle, Jonathan   +2 more
openaire   +5 more sources

Loop quantum gravity [PDF]

open access: yesXIVth International Congress on Mathematical Physics, 2006
We describe the canonical approach to quantum gravity and report on the status of its most advanced implementation, Loop Quantum Gravity (LQG).
openaire   +4 more sources

Loop quantum gravity [PDF]

open access: yesInternational Journal of Modern Physics D, 2014
This paper presents an "in-a-nutshell" yet self-contained introductory review on loop quantum gravity (LQG) — a background-independent, nonperturbative approach to a consistent quantum theory of gravity. Instead of rigorous and systematic derivations, it aims to provide a general picture of LQG, placing emphasis on the fundamental ideas and their ...
openaire   +4 more sources

Phase transition in loop quantum gravity [PDF]

open access: greenPhysical Review D, 2016
We point out that with a specific counting of states loop quantum gravity implies that black holes perform a phase transition at a certain characteristic temperature $T_C$. In this phase transition the punctures of the spin network on the stretched horizon of the black hole jump, in effect, from the vacuum to the excited states.
Jarmo Mäkelä
openalex   +4 more sources

Loop Quantum Gravity [PDF]

open access: yes, 1997
The problem of finding the quantum theory of the gravitational field, and thus understanding what is quantum spacetime, is still open. One of the most active of the current approaches is loop quantum gravity. Loop quantum gravity is a mathematically well-
A Ashtekar   +172 more
core   +4 more sources

Quantum black holes in loop quantum gravity [PDF]

open access: greenClassical and Quantum Gravity, 2014
20 pages.
Rodolfo Gambini   +2 more
openalex   +5 more sources

Loop quantum gravity and cosmological constant

open access: yesPhysics Letters B, 2021
A one-parameter regularization freedom of the Hamiltonian constraint for loop quantum gravity is analyzed. The corresponding spatially flat, homogenous and isotropic model includes the two well-known models of loop quantum cosmology as special cases. The
Xiangdong Zhang, Gaoping Long, Yongge Ma
doaj   +1 more source

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